In the popular family game Boggle, each of 16 dice has six different
letters (QU substitutes for a single letter on one cube face) on it. The dice
are shaken and fall into a 4x4 square, so that one letter on each cube shows.
Players have three minutes to form as many words of length three or longer by
moving from letter to adjacent letter either vertically, horizontally, or
diagonally. Players may return to a letter in forming a word but may not
pause on a letter. Given the sample board

FBUP
TMEO
RSHI
ETBW

possible words are POEM, PESTER, HOPE, THEME, and RESETS, but not MESS. In a
recent game of Boggle, Chad and his dad formed the words given in the
clues below, as well as many others. Can you reconstruct the arrangement of the
top dice letters that showed on their game board?

Both Chad and his dad got the words SLIT and SNAG, but only Chad formed
the higher-scoring word SULTAN.

Dad scored points by making ANT and OFTEN, neither of which his son
had on his final word list.

Chad scored points with LAMP and MOAT, which Dad didn't see.

Both players anagrammed RYE, which was made in part by an upper left-to-lower
right diagonal move in going from one letter to the next.

To anagram the word BEST, where the cube with B on it wasn't in the
upper-right-hand corner of the Boggle board, Chad made two
consecutive horizontal moves.